Math Problem Statement
Solve using operation of function
Find (g • f)(-4) where g(x) = x + 2 and h(x) = x^3 - 2x.
Solution
The problem asks to find , which represents the composition of two functions, and .
From the image, we see that:
But it's unclear whether you're meant to compose with or . I will assume that , and thus . If this assumption is incorrect, feel free to clarify!
Now, let's proceed step by step:
- The composition of functions means evaluating . That is, we first evaluate , and then substitute the result into .
- We need to find , which means evaluating and then using that value in .
Let's calculate that:
- First, evaluate :
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Math Problem Analysis
Mathematical Concepts
Function Composition
Polynomial Functions
Formulas
(g ∘ f)(x) = g(f(x))
Theorems
Function Composition Theorem
Suitable Grade Level
Grades 10-12